Shedding leaves in winter is a common finding. If stems are firm, do not worry. They do not need much water especially through dormancy otherwise root rot will occur. Water only sparingly, making sure that soil is not wet. In spring you will notice leaves. You may start applying mild fertilizer then.
If u worrying about shedding leaves then don't worry leaves will come back soon. But if u r worried about the reddish spot on the tip of the branches then it is really a topic of concern. I think @drumadixit will give a better solution for it. I'm also facing this problem( brown burning type spot) in my adenium plant.
@nitishbindal was thinking about your frangipani and wondering if you have the space to grow straight into ground? Or do you need to protect it from winter weather? Condition of your soil health? Add lots of organic matter to open up soil, if possible.
@gauravsh6 here's the picture of my frangipani full of leaves..
Beautiful Shot. Blooms Colour ?